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41410002112122 = 237471091597120511
BaseRepresentation
bin10010110101001100001000…
…11101110100111001111010
312102121202110020122202012110
421122212010131310321322
520411430141020041442
6224023254202553150
711502526312203360
oct1132460435647172
9172552406582173
1041410002112122
11122159796aa226
124789651b087b6
131a14c3c44b277
14a3237d237630
154bc28100569c
hex25a984774e7a

41410002112122 has 128 divisors (see below), whose sum is σ = 97614025850880. Its totient is φ = 11466181359360.

The previous prime is 41410002112099. The next prime is 41410002112123. The reversal of 41410002112122 is 22121120001414.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (41410002112123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 343559847 + ... + 343680357.

It is an arithmetic number, because the mean of its divisors is an integer number (762609576960).

Almost surely, 241410002112122 is an apocalyptic number.

41410002112122 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 41410002112122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48807012925440).

41410002112122 is an abundant number, since it is smaller than the sum of its proper divisors (56204023738758).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41410002112122 is a wasteful number, since it uses less digits than its factorization.

41410002112122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122276.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 41410002112122 its reverse (22121120001414), we get a palindrome (63531122113536).

The spelling of 41410002112122 in words is "forty-one trillion, four hundred ten billion, two million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 47 94 109 141 218 282 327 329 654 658 763 987 1526 1597 1974 2289 3194 4578 4791 5123 9582 10246 11179 15369 22358 30738 33537 35861 67074 71722 75059 107583 120511 150118 174073 215166 225177 241022 348146 361533 450354 522219 525413 723066 843577 1044438 1050826 1218511 1576239 1687154 2437022 2530731 3152478 3655533 5061462 5664017 7311066 8181431 11328034 13135699 16362862 16992051 24544293 26271398 33984102 39407097 39648119 49088586 57270017 78814194 79296238 91949893 114540034 118944357 171810051 183899786 192456067 237888714 275849679 343620102 384912134 551699358 577368201 617377853 1154736402 1234755706 1347192469 1852133559 2694384938 3704267118 4041577407 4321644971 8083154814 8643289942 9045435149 12964934913 18090870298 20977711303 25929869826 27136305447 41955422606 54272610894 62933133909 63318046043 125866267818 126636092086 146843979121 189954138129 293687958242 379908276258 440531937363 881063874726 985952431241 1971904862482 2957857293723 5915714587446 6901667018687 13803334037374 20705001056061 41410002112122